SOLUTION: SAMPLING WITHOUT REPLACEMENT: Question: the teacher of the class with 8 boys and 12 girls decides that the two class representatives can be either boys or girls. Find the probabi

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Question 471410: SAMPLING WITHOUT REPLACEMENT:
Question:
the teacher of the class with 8 boys and 12 girls decides that the two class representatives can be either boys or girls. Find the probability that the randomly selected class representatives are:
a) both boys
b) both gorls
c) a boy and a girl
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

re: SAMPLING WITHOUT REPLACEMENT:

class of highlight%2820%29 with 8 boys and 12 girls, 2 chosen

P(both boys) = %288%2F20%29%2A%287%2F19%29

P(both girls) = %2812%2F20%29%2A%2811%2F19%29

P(boy and a girl) = %288%2F20%29%2A%2812%2F19%29+%2B+%2812%2F20%29%2A%288%2F19%29

                     Boy 1st  girl 1st